Updated. Google (s GOOG) just released a native Google+ app for the iPad, bringing Hangouts group video chats, the Google+ stream and other goodies to the Apple (s AAPL) tablet. Google also added a few new features to the iPhone version of the app, which includes Hangouts as well as limited support for Google+ Events.

The new iPad app closely mimics the Android tablet experience, but with a few key differences: iPad users will be able to stream their Hangout group video chat sessions to their Apple TV via Airplay.

Also, Google+ on iOS doesn’t support Party Mode for events yet, which makes it possible to automatically add photos to an event after a check-in. Google+ Events are also limited in other ways: iOS users basically can view events, but not create any events on their own, RSVP, comment or tag photos. A Google spokesperson told me that…